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SUMMARY:Tropical sampling and its application to large-loop Feynman integr
 ation - Michael Borinsky (ETH Zürich)
DTSTART:20221214T100000Z
DTEND:20221214T110000Z
UID:TALK193259@talks.cam.ac.uk
DESCRIPTION:Tropical sampling is a new method that can be used to evaluate
  algebraic integrals\, such as Feynman integrals in the parametric represe
 ntation\, numerically.&nbsp\; If the structure of the Newton polytope of t
 he integrand is precomputed or known from first principles\, then tropical
  sampling is very fast.&nbsp\; In the case of Euclidean Feynman integrals 
 these polytopes turn out to be generalized permutahedra\, which are well-s
 tudied.&nbsp\; Employing this knowledge leads to a highly efficient and pr
 actical numerical integration algorithm which can compute scalar Euclidean
  Feynman integrals with arbitrary kinematics up to loop order ~20 on avail
 able hardware.
LOCATION:Seminar Room 1\, Newton Institute
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